Numerical Methods and Software Tools in Industrial Mathematics

Numerical Methods and Software Tools in Industrial Mathematics
Author: A. Tveito
Publisher: Springer Science & Business Media
Total Pages: 404
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461219841
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13. 2 Abstract Saddle Point Problems . 282 13. 3 Preconditioned Iterative Methods . 283 13. 4 Examples of Saddle Point Problems 286 13. 5 Discretizations of Saddle Point Problems. 290 13. 6 Numerical Results . . . . . . . . . . . . . 295 III GEOMETRIC MODELLING 299 14 Surface Modelling from Scattered Geological Data 301 N. P. Fremming, @. Hjelle, C. Tarrou 14. 1 Introduction. . . . . . . . . . . 301 14. 2 Description of Geological Data 302 14. 3 Triangulations . . . . . . . . 304 14. 4 Regular Grid Models . . . . . 306 14. 5 A Composite Surface Model. 307 14. 6 Examples . . . . . . 312 14. 7 Concluding Remarks. . . . . 314 15 Varioscale Surfaces in Geographic Information Systems 317 G. Misund 15. 1 Introduction. . . . . . . . . . . . . . . 317 15. 2 Surfaces of Variable Resolution . . . . 318 15. 3 Surface Varioscaling by Normalization 320 15. 4 Examples . . . 323 15. 5 Final Remarks . . . . . . . . . . . . . 327 16 Surface Modelling from Biomedical Data 329 J. G. Bjaalie, M. Dtllhlen, T. V. Stensby 16. 1 Boundary Polygons. . . . . . . . . . . 332 16. 2 Curve Approximation . . . . . . . . . 333 16. 3 Reducing Twist in the Closed Surface 336 16. 4 Surface Approximation. 337 16. 5 Open Surfaces. . . . 339 16. 6 Examples . . . . . . 340 16. 7 Concluding Remarks 344 17 Data Reduction of Piecewise Linear Curves 347 E. Arge, M. Dtllhlen 17. 1 Introduction. . . . . . . . . . . 347 17. 2 Preliminaries . . . . . . . . . . 349 17. 3 The Intersecting Cones Method 351 17. 4 The Improved Douglas Method 353 17. 5 Numerical Examples . . . . . . 360 17. 6 Resolution Sorting . . . . . . . . . . . . . . . . . . 361 18 Aspects of Algorithms for Manifold Intersection 365 T. Dokken 18. 1 Introduction . . . . . . . . . . . . . . . 365 18. 2 Basic Concepts Used . . . . . . . . . .

Numerical Methods and Software Tools in Industrial Mathematics

Numerical Methods and Software Tools in Industrial Mathematics
Author: Morten Dæhlen
Publisher: Birkhauser
Total Pages: 400
Release: 1997
Genre: Mathematics
ISBN: 9783764339739
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13. 2 Abstract Saddle Point Problems . 282 13. 3 Preconditioned Iterative Methods . 283 13. 4 Examples of Saddle Point Problems 286 13. 5 Discretizations of Saddle Point Problems. 290 13. 6 Numerical Results ... . 295 III GEOMETRIC MODELLING 299 14 Surface Modelling from Scattered Geological Data 301 N.P. Fremming, @. Hjelle, C. Tarrou 14. 1 Introduction. ... 301 14. 2 Description of Geological Data 302 14. 3 Triangulations ... . 304 14. 4 Regular Grid Models ... 306 14. 5 A Composite Surface Model. 307 14. 6 Examples ... 312 14. 7 Concluding Remarks. ... 314 15 Varioscale Surfaces in Geographic Information Systems 317 G. Misund 15. 1 Introduction. ... . . 317 15. 2 Surfaces of Variable Resolution ... 318 15. 3 Surface Varioscaling by Normalization 320 15. 4 Examples ... 323 15. 5 Final Remarks ... . 327 16 Surface Modelling from Biomedical Data 329 J.G. Bjaalie, M. Dtllhlen, T.V. Stensby 16. 1 Boundary Polygons. ... 332 16. 2 Curve Approximation ... 333 16. 3 Reducing Twist in the Closed Surface 336 16. 4 Surface Approximation. 337 16. 5 Open Surfaces. ... 339 16. 6 Examples ... 340 16. 7 Concluding Remarks 344 17 Data Reduction of Piecewise Linear Curves 347 E. Arge, M. Dtllhlen 17. 1 Introduction. ... 347 17. 2 Preliminaries ... 349 17. 3 The Intersecting Cones Method 351 17. 4 The Improved Douglas Method 353 17. 5 Numerical Examples ... 360 17. 6 Resolution Sorting ... ... 361 18 Aspects of Algorithms for Manifold Intersection 365 T. Dokken 18. 1 Introduction ... ... 365 18. 2 Basic Concepts Used ...

Modern Software Tools for Scientific Computing

Modern Software Tools for Scientific Computing
Author: A. Bruaset
Publisher: Springer Science & Business Media
Total Pages: 387
Release: 2012-12-06
Genre: Computers
ISBN: 1461219868
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Looking back at the years that have passed since the realization of the very first electronic, multi-purpose computers, one observes a tremendous growth in hardware and software performance. Today, researchers and engi neers have access to computing power and software that can solve numerical problems which are not fully understood in terms of existing mathemati cal theory. Thus, computational sciences must in many respects be viewed as experimental disciplines. As a consequence, there is a demand for high quality, flexible software that allows, and even encourages, experimentation with alternative numerical strategies and mathematical models. Extensibil ity is then a key issue; the software must provide an efficient environment for incorporation of new methods and models that will be required in fu ture problem scenarios. The development of such kind of flexible software is a challenging and expensive task. One way to achieve these goals is to in vest much work in the design and implementation of generic software tools which can be used in a wide range of application fields. In order to provide a forum where researchers could present and discuss their contributions to the described development, an International Work shop on Modern Software Tools for Scientific Computing was arranged in Oslo, Norway, September 16-18, 1996. This workshop, informally referred to as Sci Tools '96, was a collaboration between SINTEF Applied Mathe matics and the Departments of Informatics and Mathematics at the Uni versity of Oslo.

Advances in Software Tools for Scientific Computing

Advances in Software Tools for Scientific Computing
Author: Hans P. Langtangen
Publisher: Springer Science & Business Media
Total Pages: 362
Release: 2012-12-06
Genre: Computers
ISBN: 3642571727
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To make full use of the ever increasing hardware capabilities of modern com puters, it is necessary to speedily enhance the performance and reliability of the software as well, and often without having a suitable mathematical theory readily available. In the handling of more and more complex real-life numerical problems in all sorts of applications, a modern object-oriented de sign and implementation of software tools has become a crucial component. The considerable challenges posed by the demand for efficient object-oriented software in all areas of scientific computing make it necessary to exchange ideas and experiences from as many different sources as possible. Motivated by the success of the first meeting of this kind in Norway in 1996, we decided to organize another International Workshop on Modern Software Tools for Scientific Computing, often referred to as SciTools'98. This workshop took place in Oslo, Norway, September 14-16, 1998. The ob jective was again to provide an open forum for exchange and discussion of modern, state-of-the-art software techniques applied to challenging numerical problems. The organization was undertaken jointly by the research institute SINTEF Applied Mathematics, the Departments of Mathematics and Infor matics at the University of Oslo, and the company Numerical Objects AS.

Numerical Methods and Software

Numerical Methods and Software
Author: David Kahaner
Publisher:
Total Pages: 518
Release: 1988
Genre: Computers
ISBN:
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Mathematics of Computing -- Numerical Analysis.

Advanced Topics In Multivariate Approximation - Proceedings Of The International Workshop

Advanced Topics In Multivariate Approximation - Proceedings Of The International Workshop
Author: Fontanella F
Publisher: World Scientific
Total Pages: 380
Release: 1996-11-13
Genre:
ISBN: 9814547190
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This volume consists of 24 refereed carefully edited papers on various topics in multivariate approximation. It represents the proceedings of a workshop organized by the University of Firenze, and held in September 1995 in Montecatini, Italy.The main themes of the volume are multiresolution analysis and wavelets, multidimensional interpolation and smoothing, and computer-aided geometric design. A number of particular topics are included, like subdivision algorithms, constrained approximation and shape-preserving algorithms, thin plate splines, radial basis functions, treatment of scattered data, rational surfaces and offsets, blossoming, grid generation, surface reconstruction, algebraic curves and surfaces, and neural networks.

Geometric Modelling, Numerical Simulation, and Optimization:

Geometric Modelling, Numerical Simulation, and Optimization:
Author: Geir Hasle
Publisher: Springer Science & Business Media
Total Pages: 559
Release: 2007-06-10
Genre: Mathematics
ISBN: 3540687831
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This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.

Recent Advances in the Message Passing Interface

Recent Advances in the Message Passing Interface
Author: Rainer Keller
Publisher: Springer
Total Pages: 320
Release: 2010-09-07
Genre: Computers
ISBN: 3642156460
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Annotation This book constitutes the proceedings of the 17th European MPI User's Group Meeting on Recent Advances in the Message Passing Interface held in Stuttgart in September 2010.

Data Visualization ’99

Data Visualization ’99
Author: Eduard Gröller
Publisher: Springer Science & Business Media
Total Pages: 341
Release: 2012-12-06
Genre: Computers
ISBN: 3709168031
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In the past decade visualization established its importance both in scientific research and in real-world applications. In this book 21 research papers and 9 case studies report on the latest results in volume and flow visualization and information visualization. Thus it is a valuable source of information not only for researchers but also for practitioners developing or using visualization applications.

European Success Stories in Industrial Mathematics

European Success Stories in Industrial Mathematics
Author: Thibaut Lery
Publisher: Springer Science & Business Media
Total Pages: 142
Release: 2011-09-15
Genre: Mathematics
ISBN: 3642238483
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This unique book presents real world success stories of collaboration between mathematicians and industrial partners, showcasing first-hand case studies, and lessons learned from the experiences, technologies, and business challenges that led to the successful development of industrial solutions based on mathematics. It shows the crucial contribution of mathematics to innovation and to the industrial creation of value, and the key position of mathematics in the handling of complex systems, amplifying innovation. Each story describes the challenge that led to the industrial cooperation, how the challenge was approached and how the solutions were achieved and implemented. When brought together, they illustrate the versatile European landscape of projects in almost all areas of applied mathematics and across all business sectors. This book of success stories has its origin in the Forward Look about Mathematics and Industry that was funded by the European Science Foundation (ESF) and coordinated by the Applied Mathematics Committee of the European Mathematical Society (EMS). In each of these success stories, researchers, students, entrepreneurs, policy makers and business leaders in a range of disciplines will find valuable material and important lessons that can be applied in their own fields.​